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dybincka [34]
3 years ago
5

A group of college students are volunteering for Help the Homeless during their spring break. They are putting the finishing tou

ches on a house they built. Working alone, Kaitlin can paint a certain room in 3 hours. Brianna can paint the same room in 7 hours. Write an equation that can be used to find how long it will take them working together to paint the room. How many hours will it take them to paint the room? If necessary, round your answer to the nearest hundredth.
Mathematics
1 answer:
VashaNatasha [74]3 years ago
5 0

Answer:

The equation to find how long it will take them working together to paint the room is \frac13+\frac17=\frac1x.

It would require 2.1 hours to paint the room together.

Step-by-step explanation:

Given:

Number of hours required to paint the room alone by Kaitlin = 3 hours

Number of hours  to paint the room alone by Brianna = 7 hours.

We need to write the equation that can be used to find how long it will take them working together to paint the room.

Solution:

Let the time requires to paint the room when working together be denoted by 'x'.

Now we can say that:

Rate of Kaitlin to complete the job = \frac13

Rate of Brianna to complete the job = \frac17

Rate of both to complete the job = \frac1x

Now we can say that;'

Rate of both to complete the job  is equal to sum of Rate of Kaitlin to complete the job and Rate of Brianna to complete the job.

framing in equation form we get;

\frac13+\frac17=\frac1x

Hence The equation to find how long it will take them working together to paint the room is \frac13+\frac17=\frac1x.

Now we will take the LCM to make the denominator same we get;

\frac{1\times 7}{3\times7}+\frac{1\times3}{7\times3}=\frac{1}x\\\\\frac{3}{21}+\frac{7}{21}=\frac1x

Now denominator is common so we will solve for numerator we get;

\frac{3+7}{21}=\frac1x\\\\\frac{10}{21}=\frac1x

Now by cross multiplication we get;

10x=21

Dividing both side by 10 we get;

\frac{10x}{10}=\frac{21}{10}\\\\x=2.1\ hours

Hence It would require 2.1 hours to paint the room together.

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kykrilka [37]

Answer:

infinite solutions

Step-by-step explanation:

Hello!

Since 3r - 5 is on both sides of the equation we can put any number in for r and it would still be true so the answer is infinite solutions

The answer is infinite solutions

Hope this helps!

5 0
3 years ago
A closed box has a square base with side length feet and height feet given that the volume of the box is 34 ft.³ express the sur
Deffense [45]

Answer:

\dfrac{2s^3+136}{s}

Step-by-step explanation:

Let the side length of the square base =s feet

Let the height of the box = h

Given that the volume of the box = 34$ ft^3

Volume of the box =s^2h

Then:

s^2h=34$ ft^3\\$Divide both sides by s^2\\h=\dfrac{34}{s^2}

Surface Area of a Rectangular Prism =2(lb+bh+lh)

Since we have a square base, l=b=s feet

Therefore:

Surface Area of our closed box= 2(s^2+sh+sh)

S$urface Area= 2s^2+4sh\\Recall: h=\dfrac{34}{s^2}\\$Surface Area= 2s^2+4s\left(\dfrac{34}{s^2}\right)\\=2s^2+\dfrac{136}{s}\\$Surface Area in terms of length only=\dfrac{2s^3+136}{s}

7 0
2 years ago
Please and thank you
KatRina [158]

Answer:

\huge\boxed{\sf x = 4}

Step-by-step explanation:

If the given polygon is a regular polygon, its sides are equal.

This means:

x^2+4=x^2+x

Subtract x^2 to both sides

4 = x

OR

x = 4

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
8 0
2 years ago
Read 2 more answers
HURRYYY
IgorC [24]

Answer:

I believe the answer is 10 units.

3 0
3 years ago
PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! THANK YOUUU!!! &lt;33
Free_Kalibri [48]

Answer:

A) 113 m²

Step-by-step explanation:

Use the formula for area of a circle.

Area of a circle = πr²

π = pi = 3.14 (rounded)

r = radius

² = the power of 2, or the radius (in this case) multiplied by itself.

Note that the radius is given, and it is 6. Plug in 6 for the radius:

A (circle) = π(6)²

First, solve the power. Multiply 6²:

6² = 6 * 6 = 36

Next, multiply 36 with π (3.14):

36 x 3.14 = 113.04

A) 113 m² is your closest answer.

~

6 0
2 years ago
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